Euler–Heisenberg Lagrangian

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Euler–Heisenberg Lagrangian

Quality:

Euler–Heisenberg Lagrangian - effective quantum electrodynamics action for the non-linear dynamics of electromagnetic fields in vacuum. Article “Euler–Heisenberg Lagrangian” in English Wikipedia has 24.2 points for quality (as of July 1, 2025). The article contains 15 references and 4 sections.

This article has the best quality in Catalan Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Euler–Heisenberg Lagrangian”, its content was written by 31 registered users of English Wikipedia and edited by 53 registered Wikipedia users in all languages.

The article is cited 126 times in English Wikipedia and cited 143 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #48031 in August 2022
  • Global: #134305 in August 2022

The highest popularity rank from 2008:

  • Local (English): #700558 in July 2023
  • Global: #515557 in July 2018

There are 6 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Catalan (ca)
Lagrangià d'Euler-Heisenberg
30.1989
2English (en)
Euler–Heisenberg Lagrangian
24.17
3Russian (ru)
Лагранжиан Гейзенберга — Эйлера
20.6959
4Japanese (ja)
オイラー=ハイゼンベルク・ラグランジアン
19.1364
5Portuguese (pt)
Lagrangiana de Euler-Heisenberg
17.7762
6Spanish (es)
Lagrangiano de Euler-Heisenberg
6.6185
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Euler–Heisenberg Lagrangian" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Euler–Heisenberg Lagrangian
97 628
2Japanese (ja)
オイラー=ハイゼンベルク・ラグランジアン
7 870
3Russian (ru)
Лагранжиан Гейзенберга — Эйлера
7 059
4Spanish (es)
Lagrangiano de Euler-Heisenberg
2 506
5Portuguese (pt)
Lagrangiana de Euler-Heisenberg
652
6Catalan (ca)
Lagrangià d'Euler-Heisenberg
41
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Euler–Heisenberg Lagrangian" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Euler–Heisenberg Lagrangian
949
2Japanese (ja)
オイラー=ハイゼンベルク・ラグランジアン
68
3Russian (ru)
Лагранжиан Гейзенберга — Эйлера
52
4Spanish (es)
Lagrangiano de Euler-Heisenberg
25
5Portuguese (pt)
Lagrangiana de Euler-Heisenberg
16
6Catalan (ca)
Lagrangià d'Euler-Heisenberg
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Euler–Heisenberg Lagrangian" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Euler–Heisenberg Lagrangian
31
2Russian (ru)
Лагранжиан Гейзенберга — Эйлера
7
3Spanish (es)
Lagrangiano de Euler-Heisenberg
5
4Japanese (ja)
オイラー=ハイゼンベルク・ラグランジアン
4
5Portuguese (pt)
Lagrangiana de Euler-Heisenberg
4
6Catalan (ca)
Lagrangià d'Euler-Heisenberg
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Euler–Heisenberg Lagrangian" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Lagrangià d'Euler-Heisenberg
0
2English (en)
Euler–Heisenberg Lagrangian
0
3Spanish (es)
Lagrangiano de Euler-Heisenberg
0
4Japanese (ja)
オイラー=ハイゼンベルク・ラグランジアン
0
5Portuguese (pt)
Lagrangiana de Euler-Heisenberg
0
6Russian (ru)
Лагранжиан Гейзенберга — Эйлера
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Euler–Heisenberg Lagrangian" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Euler–Heisenberg Lagrangian
126
2Russian (ru)
Лагранжиан Гейзенберга — Эйлера
13
3Japanese (ja)
オイラー=ハイゼンベルク・ラグランジアン
3
4Catalan (ca)
Lagrangià d'Euler-Heisenberg
1
5Spanish (es)
Lagrangiano de Euler-Heisenberg
0
6Portuguese (pt)
Lagrangiana de Euler-Heisenberg
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Lagrangià d'Euler-Heisenberg
enEnglish
Euler–Heisenberg Lagrangian
esSpanish
Lagrangiano de Euler-Heisenberg
jaJapanese
オイラー=ハイゼンベルク・ラグランジアン
ptPortuguese
Lagrangiana de Euler-Heisenberg
ruRussian
Лагранжиан Гейзенберга — Эйлера

Popularity rank trends

Best Rank English:
#700558
07.2023
Global:
#515557
07.2018

AI rank trends

Best Rank English:
#48031
08.2022
Global:
#134305
08.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Euler–Heisenberg Lagrangian from Wikipedia articles about RX J1856.5-3754, Schwinger limit, Maxwells equations, Vacuum polarization and Hans Heinrich Euler. Whereas reading the article about Euler–Heisenberg Lagrangian people most often go to Wikipedia articles on Hans Heinrich Euler, Birefringence, Vacuum polarization, Two-photon physics and Delbrück scattering.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information